D-branes on group manifolds and deformation quantization

DOI10.1016/S0550-3213(01)00503-XzbMath0973.81100arXivhep-th/9907183OpenAlexW2138005099MaRDI QIDQ5949669

Hugo García-Compeán, Jerzy F. Plebański

Publication date: 21 November 2001

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9907183

zbMATH Keywords

two-point correlation functionsLie algebra dualWess-Zumino effective theory

Mathematics Subject Classification ID

Applications of Lie (super)algebras to physics, etc. (17B81) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Geometry and quantization, symplectic methods (81S10)

Related Items (2)

On the geometry of coset branes ⋮ BRST construction of D-branes in SU(2) WZW model

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Fuzzy complex projective spaces and their star-products
• Non-Abelian bosonization in two dimensions
• An explicit *-product on the cotangent bundle of a Lie group
• Quantization of Lie bialgebras. II, III
• Homogeneous Fedosov star products on cotangent bundles. I: Weyl and standard ordering with differential operator representation
• Kontsevich star product on the dual of a Lie algebra
• A simple geometrical construction of deformation quantization
• Open strings and D-branes in WZNW models
• D-branes on group manifolds
• Hyper-Kähler geometry and invariants of three-manifolds
• On tangential properties of the Gutt \(*\)-product
• D-branes in Kazama-Suzuki models
• D-branes in Gepner models
• On the deformation quantization description of Matrix compactifications
• Boundary deformation theory and moduli spaces of D-branes
• Constrained quantization of open string in background \(B\) field and noncommutative D-brane
• The geometry of WZW branes
• A path integral approach to the Kontsevich quantization formula.
• Noncommutative geometry and matrix theory: Compactification on tori
• Non-commutative world-volume geometries: branes on SU(2) and fuzzy spheres
• D-branes and deformation quantization
• Deformation quantization of Poisson manifolds
• Bound states of strings and \(p\)-branes
• \(D\)-branes and topological field theories
• Quantum observables, Lie algebra homology and TQFT
• KONTSEVICH'S UNIVERSAL FORMULA FOR DEFORMATION QUANTIZATION AND THE CAMPBELL–BAKER–HAUSDORFF FORMULA
• Frobenius Manifolds and Formality of Lie Algebras of Polyvector Fields
• DEFORMATION QUANTIZATION OF COADJOINT ORBITS
• Flux stabilization of D-branes
• Noncommutative gauge theories from deformation quantization.
• The Matrix model and the noncommutative geometry of the supermembrane
• Dirac quantization of open strings and noncommutativity in branes.
• BRST construction of D-branes in SU(2) WZW model
• D-branes on a gauged WZW model

This page was built for publication: D-branes on group manifolds and deformation quantization